mr-mathematics.com Recapping: Properties of quadratic graphs

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mr-mathematics.com Recapping: Properties of quadratic graphs Match the graph with the equation ANS 𝑦= (𝑥−1) 2 𝑦= 𝑥 2 −3 𝑦= 𝑥 2 𝑦= 𝑥 2 +2 mr-mathematics.com

mr-mathematics.com Cubic Graphs Learning Objective: Plot a cubic equation on a Cartesian axis using a table of results. Plot the graph of y = x3 Use the graph to solve the equations a) 5 = x3 b) -6 = x3 c) y = 1.53 ANS ANS ANS mr-mathematics.com

mr-mathematics.com Cubic Graphs Learning Objective: Plot a cubic equation on a Cartesian axis using a table of results. Plot the graph of y = x3 - 5 Use the graph to solve the equation a) 1 = x3 - 5 b) -7 = x3 - 5 c) y = (-1.5)3 - 5 ANS ANS ANS mr-mathematics.com

mr-mathematics.com Cubic Graphs Learning Objective: Plot a cubic equation on a Cartesian axis using a table of results. Plot the graph of y = x3 – 3x2 within the range -2 ≤ x ≤ 4. Use the graph to solve the equation a) -1.5 = x3 – 3x2 b) 8 = x3 – 3x2 ANS ANS mr-mathematics.com

mr-mathematics.com Cubic Graphs Learning Objective: Plot a cubic equation on a Cartesian axis using a table of results. ANS a) Complete the table of results for y = x3 – 4x ANS b) On the grid, draw the graph of y = x3 – 4x from x = -3 to x = 3. c) Use your graph to solve the equation 2 = x3 – 4x . mr-mathematics.com

mr-mathematics.com Recapping: Properties of quadratic graphs Match the graph with the equation 𝑦= 𝑥 2 𝑦= 𝑥 2 +2 𝑦= (𝑥−1) 2 𝑦= 𝑥 2 −3 Go Back mr-mathematics.com

mr-mathematics.com Cubic Graphs Learning Objective: Plot a cubic equation on a Cartesian axis using a table of results. y = 5 5 = x3 x ≈ 1.7 y = x3 Go Back mr-mathematics.com

mr-mathematics.com Cubic Graphs Learning Objective: Plot a cubic equation on a Cartesian axis using a table of results. -6 = x3 x ≈ -1.8 y = x3 y = -6 Go Back mr-mathematics.com

mr-mathematics.com Cubic Graphs Learning Objective: Plot a cubic equation on a Cartesian axis using a table of results. x = 1.5 y = 1.53 y ≈ 3.4 y = x3 Go Back mr-mathematics.com

mr-mathematics.com Cubic Graphs Learning Objective: Plot a cubic equation on a Cartesian axis using a table of results. y = 1 1 = x3 – 5 x ≈ 1.8 y = x3 - 5 Go Back mr-mathematics.com

mr-mathematics.com Cubic Graphs Learning Objective: Plot a cubic equation on a Cartesian axis using a table of results. y = x3 - 5 -7 = x3 – 5 x ≈ -1.3 y = -7 Go Back mr-mathematics.com

mr-mathematics.com Cubic Graphs Learning Objective: Plot a cubic equation on a Cartesian axis using a table of results. y = x3 - 5 y = (-1.5)3 - 5 y ≈ -8.4 x = -1.5 Go Back mr-mathematics.com

mr-mathematics.com Cubic Graphs Learning Objective: Plot a cubic equation on a Cartesian axis using a table of results. -1.5 = x3 – 3x2 x ≈ - 0.6, 0.8. 2.8 Go Back mr-mathematics.com

mr-mathematics.com Cubic Graphs Learning Objective: Plot a cubic equation on a Cartesian axis using a table of results. 8 = x3 – 3x2 x ≈ 3.6 Go Back mr-mathematics.com

mr-mathematics.com Cubic Graphs Learning Objective: Plot a cubic equation on a Cartesian axis using a table of results. Go Back mr-mathematics.com

mr-mathematics.com Cubic Graphs Learning Objective: Plot a cubic equation on a Cartesian axis using a table of results. 2 = x3 – 4x x ≈ -1.7, x ≈ -0.5, x ≈ 2.2 y = x3 – 4x y = 2 Go Back mr-mathematics.com